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sammy [17]
3 years ago
12

Special precision bolts are made by another machine. These are for jobs that require more exact measurements. The bolts must be

within 0.01 mm of 8 mm. This is represented by |x – 8| < 0.01.
Write this inequality as a compound inequality without absolute value bars.






Solve the inequality.






Graph the solutions on a number line.






What do the solutions of the inequality mean for the bolt?

Mathematics
1 answer:
kondaur [170]3 years ago
5 0

Answer:

-.01 < x-8 < .01

7.99 < x< 8.01

see attached

The bolts must be greater than 7.99mm and less than 8.01 mm

Step-by-step explanation:

|x – 8| < 0.01

to remove the absolute value bars, we need the positive and negative solutions

x-8 < .01   and x-8 > -.01

-.01 < x-8 < .01


solve

add 8 to each side

-.01 < x-8 < .01

8 + -.01 < x-8+8 < .01 +8

7.99 < x< 8.01

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Find the value of x for which m parallel to n <br> A. 31 <br> B. 33 <br> C. 39 <br> D. 41
olya-2409 [2.1K]
Hello!

We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.

180 - 105 = 75

The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.

75 = 3x - 18
93 = 3x
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Answer:
x = 31
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2 years ago
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slavikrds [6]

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Step-by-step explanation:

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8 0
3 years ago
Find the error in the problem below
qaws [65]

Answer:

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Step-by-step explanation:

3k is a positve number. So instead of adding you have to subtract to be able to move on. Correct way shown below. Once you get this step wrong your answer will also be wrong. At the end you also need to divide

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Answer:

Step-by-step explanation:

x = 2 works lol

but if you want a more complicated one:

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ozzi

Answer:

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